RT 5.2 Consider the differential: dp = dT + - ) dv (where a is a constant) (a) Determine whether the above differential, i.e. dp, is exact or not. Show all your steps and evaluation of the appropriate partial differentials!

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A: An ordinary differential equation (ODE) is an equation that involves some ordinary derivatives (as…

Q: z = f( a, b, d, c), write the exact differential of the dependent variable

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Q: a. Circle of radius 1 and centers on the line y = x

A: The solution is given as

Q: Find total differential of function u = x.

A: 6. The given function is u=xyz. We know that the total differential of a function u=fx,y,z is given…

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Q: Obtain the solution of the following differential equation: 1. (x – 3)dx + 4(x +y– 1)dy = 0 2. (x –…

A: Explanation of the solution is given.......

Q: W = x =t' +7, y=cos(2t), z=4t COS

A:

Q: Find the differential equation which has y= asinx+bcosx+xcosx

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Q: b. Ellipses having its centers at the origin and transverse axis x

A: The equation of this type of ellipse is x2/a2 +y2/b2 =1.

Q: ind the differential equation of all parabolas whose axis are parallel to the x-axis and have latus…

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Q: Sin (7€) + Cos (SE) 5지

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.